Finding the Fourth Proportional to 75,985.19, 113,916.29 and 31,645.14
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Solution
The fourth proportional to 75,985.19, 113,916.29 and 31,645.14 is: 47,442.09
Step by Step Solution
- Step 1: Write the proportion equation
75,985.19 : 113,916.29 = 31,645.14 : x - Step 2: Convert to fraction form
75,985.19/113,916.29 = 31,645.14/x - Step 3: Cross multiply
75,985.19x = 113,916.29 × 31,645.14 - Step 4: Simplify right side
75,985.19x = 3,604,896,359.92 - Step 5: Solve for x
x = 3,604,896,359.92/75,985.19 - Step 6: Final answer
x = 47,442.09
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.